Find the other endpoint of the line segment with the given endpoint and midpoint. - Show Work

Question

Endpoint: (-10, -8), midpoint: (7,2)

Answer 1

Just like I answered before, we have an a and a c and need to find b:

X-coordinate:

(-10 + b) / 2 = 7

Multiply both sides by 2:

-10 + b = 14

Add 10 to both sides:

b = 24

 

So our coordinates so far look like (24, __)

 

I'll set up the y-coordinate for you, and using what we practiced before, you can solve for b here on your own:

(-8 + b) / 2 = 2